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andre [41]
2 years ago
5

A bricklayer supports a 5 meter ladder. Against a vertical wall. The foot of ther ladder is 3 meters from the wall. Calculate th

e heigth at which the top of ladder is
Mathematics
1 answer:
iVinArrow [24]2 years ago
5 0

Answer:

4 meters

Step-by-step explanation:

Let the height at which the top of the ladder is be represented by h. The sketch of the question forms a right angled triangle. So that applying the Pythagoras rule,

/hyp/^{2} = /Adj 1/^{2} + /Adj 2/^{2}

5^{2} = h^{2} + 3^{2}

25 = h^{2} + 9

h^{2} = 25 - 9

   = 16

⇒ h = \sqrt{16}

      = 4

Therefore, the height at which the top of ladder is placed is 4 meters.

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Find the equation of the line that is perpendicular to y=3/4x-3 and passes through the point (3,-2)
morpeh [17]

Answer:

Step-by-step explanation:

perp. -4/3

y + 2 = -4/3(x - 3)

y + 2 = -4/3x + 4

y = -4/3x + 2

4 0
2 years ago
The table and the graph below each show a different relationship between the same two variables, x and y:
olga2289 [7]

The value of y will be 60 so the correct answer is option C.

<h3>What is a graph?</h3>

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

There is a linear relationship between the two variables x and y. For the given data in the table as well as in the graph. The expression for the two variables will be written in the form of an equation as follows:-

The expression for the data in the table:-

y = 25 x now at x = 12

y = 25 x 12 = 300

The expression for the values in the graph:-

y  = 30x at x = 12

y  = 30 x 12

Y = 360

How much more would the value of y be on the graph will be calculated as:-

Value  = 360 - 300

Value = 60

Therefore the value of y will be 60 so the correct answer is option C.

To know more about graphs follow

brainly.com/question/25020119

#SPJ1

5 0
1 year ago
Translate the algebraic expression shown below into a verbal expression.
yaroslaw [1]
The quotient of some number and four.
6 0
3 years ago
A small motorboat travels 12mph in still water. It takes 2 hours longer to travel 46 miles going upstream than it does going dow
Natasha_Volkova [10]

Using the relation between velocity, distance and time, it is found that the rate of the current is of 3.33 mph.

<h3>What is the relation between velocity, distance and time?</h3>

Velocity is distance divided by time, hence:

v = d/t

A small motorboat travels 12mph in still water. With the current, upstream, 46 miles are traveled in t hours, hence:

12 + r = 46/t

r = 46/t - 12

Downstream, the time is of t + 2 hours, hence:

12 - r = 46/(t + 2)

r = 12 - 46/(t + 2)

Hence, equaling the values for r:

46/t - 12 = 12 - 46/(t + 2)

46/t + 46/(t + 2) = 24

\frac{46t + 92 + 46t}{t(t + 2)} = 24

92t + 92 = 24t² + 48t

24t² - 44t - 92 = 0

Using a quadratic equation calculator, the solution is t = 3. Hence the rate is found as follows:

r = 46/t - 12 = 46/3 - 12 = 3.33 mph.

More can be learned about the relation between velocity, distance and time at brainly.com/question/28155966

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4 0
1 year ago
Which two points in the graphed function have an average rate of change of 5?
djverab [1.8K]

Answer:

<h2>D. points A and B</h2>

Step-by-step explanation:

Look at the picture.

average\ rate=\dfrac{rise}{run}

A.\ B\ and\ C\to\dfrac{-3}{-1}=3\\\\B.\ D\ and\ F\to\dfrac{-12}{2}=-6\\\\C.\ C\ and\ E\to\dfrac{-8}{4}=-2\\\\D.\ A\ and\ B\to\dfrac{-5}{-1}=5

3 0
2 years ago
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